Question 181827
The x-axis is the major axis since {{{3 > sqrt(3)}}}
The general form is:
{{{(x^2)/(a^2) + (y^2)/(b^2) = 1}}}
Where the x-intercepts are at +/- {{{a}}}
and the y-intercepts are at +/- {{{b}}}
given:
x-intercepts +/- {{{3}}}
y-intercepts +/- {{{sqrt(3)}}}
{{{a = 3}}} and {{{-a = -3}}}
{{{b = sqrt(3)}}} and {{{-b = -sqrt(3)}}}
{{{a^2 = 9}}}
{{{b^2 = 3}}}
The equation is:
{{{(x^2)/9 + (y^2)/3 = 1}}}
{{{ graph( 500, 500, -4,4,-4,4, sqrt(3 - ((x^2)/3)), -sqrt(3 - ((x^2)/3))) }}}